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The inverse problem consisting in identification of temperature on the part of boundary limiting the domain considered is discussed. In order to solve the problem the energy minimization method coupled with the boundary element method is used. The theoretical considerations are supplemented by the examples of computations verifying the correctness of the algorithm proposed. The computations have been...
Heat transfer in the skin tissue treated as a multi - layer domain in which one can distinguish the epidermis, dermis and subcutaneous region is described by the system of Pennes equations and adequate boundary, initial and geometrical conditions. Many of the parameters used in the mathematical model are difficult to measure, e.g. epidermis or dermis thickness. In the paper the numerical algorithm...
In this paper, an algorithm of calculation of extreme values of temperature based on interval arithmetic is presented. Many mechanical systems with uncertain parameters lambda in Lambda can be described by a parameter dependent system of linear equations K(lambda)T=B(lambda). Using natural interval extension of a real function, one can transform the system of linear equations into the system of linear...
In the paper the heat transfer within the tissue in the presence of a pair of blood vessels is analyzed. Taking into account the of a blood vessel and inconsiderable change of blood temperature along the vessel one can consider the 2D problem. In order to solve the boundary element method is used. In the final part of the paper the example of computations is presented.
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